The bootstrap method is applied to discrete multivariate data and the power
divergence family of test statistics (PDFS). For a symmetric null hypothesis against a
local alternative, exact power values determined by Read and Cressie (1988:76-78)
are used as a basis for a comparative power study between the AE approximation of
power derived by Taneichi et al. (2002), and a bootstrap method which involves the
use of newly calculated bootstrap critical values for power calculations. Also,
traditional chi-square critical values are used to determine power for these hypotheses
and are compared with the methods mentioned above. The study focuses on small
sample sizes.